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2923146336 = 253112819851
BaseRepresentation
bin1010111000111011…
…1010110001100000
321112201102012221010
42232032322301200
521441311140321
61202021100520
7132303222345
oct25616726140
97481365833
102923146336
111270049120
12696b57740
133777b62b6
141da31c7cc
15121962676
hexae3bac60

2923146336 has 96 divisors (see below), whose sum is σ = 8401470336. Its totient is φ = 882560000.

The previous prime is 2923146329. The next prime is 2923146361. The reversal of 2923146336 is 6336413292.

2923146336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2923146294 and 2923146303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291811 + ... + 301661.

It is an arithmetic number, because the mean of its divisors is an integer number (87515316).

Almost surely, 22923146336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2923146336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200735168).

2923146336 is an abundant number, since it is smaller than the sum of its proper divisors (5478324000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2923146336 is a wasteful number, since it uses less digits than its factorization.

2923146336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10156 (or 10148 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The square root of 2923146336 is about 54066.1292862731. The cubic root of 2923146336 is about 1429.8270832695.

The spelling of 2923146336 in words is "two billion, nine hundred twenty-three million, one hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 281 352 528 562 843 1056 1124 1686 2248 3091 3372 4496 6182 6744 8992 9273 9851 12364 13488 18546 19702 24728 26976 29553 37092 39404 49456 59106 74184 78808 98912 108361 118212 148368 157616 216722 236424 296736 315232 325083 433444 472848 650166 866888 945696 1300332 1733776 2600664 2768131 3467552 5201328 5536262 8304393 10402656 11072524 16608786 22145048 30449441 33217572 44290096 60898882 66435144 88580192 91348323 121797764 132870288 182696646 243595528 265740576 365393292 487191056 730786584 974382112 1461573168 2923146336